# Black box algorithm to find standard generators of F22 set F 0 set G 0 set V 0 lbl SEMISTD rand 1 ord 1 A incr V if V gt 1000 then timeout if A notin 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 & 22 24 30 then fail if F eq 0 then if A in 14 22 30 then div A 2 B pwr B 1 2 set F 1 endif endif if G eq 0 then if A eq 13 then cp 1 3 set G 1 endif endif if F eq 0 then jmp SEMISTD if G eq 0 then jmp SEMISTD set X 0 lbl CONJUGATE incr X if X gt 3000 then timeout rand 4 cjr 3 4 mu 2 3 5 ord 5 D if D notin 6 7 8 9 10 11 12 13 14 15 16 18 20 21 & 22 24 30 then fail if D noteq 11 then jmp CONJUGATE mu 5 3 6 # abb mu 5 6 7 # ababb mu 7 7 8 mu 8 6 9 mu 5 9 11 mu 5 11 12 ord 12 E if E notin 9 10 12 13 14 15 18 21 22 24 30 then fail if E noteq 12 then jmp CONJUGATE oup 2 2 3